82815288192 has 768 divisors, whose sum is σ = 316865203200. Its totient is φ = 20696518656.

The previous prime is 82815288187. The next prime is 82815288209. The reversal of 82815288192 is 29188251828.

It is a happy number.

82815288192 is a `hidden beast` number, since 8 + 28 + 1 + 528 + 8 + 1 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 773974603 + ... + 773974709.

It is an arithmetic number, because the mean of its divisors is an integer number (412584900).

Almost surely, 2^82815288192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82815288192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158432601600).

82815288192 is an abundant number, since it is smaller than the sum of its proper divisors (234049915008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82815288192 is a wasteful number, since it uses less digits than its factorization.

82815288192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 155 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 54.

The spelling of 82815288192 in words is "eighty-two billion, eight hundred fifteen million, two hundred eighty-eight thousand, one hundred ninety-two".